The area of a rectangle is equal to the area of a square whose diagonal is 12√2 metre. The difference between the length and the breadth of the rectangle is 7 metre. What is the perimeter of rectangle ? (in metre). A. 68 metre B. 50 metre C. 62 metre D. 64 metre Answer Workspace Report Discuss Answer with explanation Answer: Option B Explanation d = a√2 12√2 = a√2 a = 12 l * b = a² = (12²) = 144 l – b = 7 ; l = b + 7 (b + 7)*(b) = 144 b² + 7b – 144 = 0 b = 9; l = 16 2(l + b) = 2(16 + 9) = 50m Workspace
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